\documentclass{article}
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\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdbdjded{\Leftrightarrow}
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\newcommand\unicdcdidid{\not\subseteq}
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\begin{document}
\title{t2\_e\_siec (TMY8vJ9k23eMaawUTwP5gPRMJuYa8ndr42K)}
\maketitle
Let $ v2\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ g1\_e\_siec : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ v3\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_e\_siec : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_relat\_1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_relat\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k4\_relat\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v1\_relat\_1~X0){\unicdbdjdcd}((k3\_relat\_1~k1\_xboole\_0~X0=k1\_xboole\_0){\unicdcdcdhd}\\
(k3\_relat\_1~X0~k1\_xboole\_0=k1\_xboole\_0))\end{array}
\label{hyp:ehddjdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{r1\_tarski}~{k1\_xboole\_0}}~{X0}}}\label{hyp:ehcdpfihcgpgpgmgfgpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  (v1\_relat\_1~\\
X2){\unicdbdjdcd}(((v2\_e\_siec~(g1\_e\_siec~X0~X1~X2)){\unicdcdcdhd}((v3\_e\_siec~(g1\_e\_siec~\\
X0~X1~X2)){\unicdcdcdhd}(l1\_e\_siec~(g1\_e\_siec~X0~X1~X2)))){\unicdbdjded}((r1\_tarski~X1~(k2\_zfmisc\_1~\\
X0~X0)){\unicdcdcdhd}((r1\_tarski~X2~(k2\_zfmisc\_1~X0~X0)){\unicdcdcdhd}((k3\_relat\_1~X1~X1=\\
X1){\unicdcdcdhd}((k3\_relat\_1~X1~X2=X1){\unicdcdcdhd}((k3\_relat\_1~X2~X2=X2){\unicdcdcdhd}((k3\_relat\_1~\\
X2~X1=X2){\unicdcdcdhd}((k3\_relat\_1~X1~(k4\_xboole\_0~X1~(k4\_relat\_1~X0))=k1\_xboole\_0){\unicdcdcdhd}\\
(k3\_relat\_1~X2~(k4\_xboole\_0~X2~(k4\_relat\_1~X0))=k1\_xboole\_0))))))))))\end{array}
\label{hyp:ehbdpffgpfdhjgfgdg}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (v1\_relat\_1~X0){\unicdbdjdcd}(v1\_relat\_1~(k4\_xboole\_0~\\
X0~X1))\end{array}
\label{hyp:ggdgcdpfchfgmgbgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{v1\_xboole\_0}~{k1\_xboole\_0}}\label{hyp:ggdgbdpfihcgpgpgmgfgpfad}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{v1\_xboole\_0}~{X0}})}{\unicdbdjdcd}{({{v1\_relat\_1}~{X0}})}}}\label{hyp:dgdgbdpfchfgmgbgehpfbd}
\end{equation}
\begin{theorem}\label{thm:ehcdpffgpfdhjgfgdg}
$$\begin{array}{c}{\unicdcdadad} X0 .  (v2\_e\_siec~(g1\_e\_siec~X0~k1\_xboole\_0~k1\_xboole\_0)){\unicdcdcdhd}\\
((v3\_e\_siec~(g1\_e\_siec~X0~k1\_xboole\_0~k1\_xboole\_0)){\unicdcdcdhd}(l1\_e\_siec~\\
(g1\_e\_siec~X0~k1\_xboole\_0~k1\_xboole\_0)))\end{array}$$
\end{theorem}
\end{document}
